Answer provided by our tutors
P = the principal
t = 25 years the time in years
r = 0.0525 or 5.25% annual rate
m = 1 compounding periods per year
i = 0.0525 or 5.25% interest rate per period
n = t*m = 25 total number of compounding periods
A = $75,000 future value
A = P(1 + i)^n
P(1 + i)^n = A
P(1 + 0.0525)^25 = 75000
by solving we find:
P = $20,869.34
X = short section of rope
4x = longer section of rope
x + 4x = 25
5x = 25
x = 5
…or in other words the shorter piece of rope is 5 feet long
Answer:
Step-by-step explanation:Here the slope of the line = m = 2
The line passes through the point (
x
1
, y
1
) = ( , 9
).
The equation of the line with slope m and passing through the point (
x
1
, y
1
) is given by
(
y
- y
1
) = m (
x - x
1
)
(
y - 9
) = 2 ( x - 3
)y - 9 = 2
x - 6
Collecting terms in one side
0 = 2
x - y - 6 + 9
2
x - y + 3 = 0
Hope this helps x
Answer:
1.1
Step-by-step explanation:
Find the mean of the data:(3+4+5+5+5+6+6+6+7+8)/10 = 5.5Step 2: Find the difference between each data and mean:Difference between 3 and 5.5 is 2.5Difference between 4 and 5.5 is 1.5Difference between 5 and 5.5 is 0.5Difference between 5 and 5.5 is 0.5Difference between 5 and 5.5 is 0.5Difference between 6 and 5.5 is 0.5Difference between 6 and 5.5 is 0.5Difference between 6 and 5.5 is 0.5Difference between 7 and 5.5 is 1.5Difference between 8 and 5.5 is 2.5Step 3: Add all the differences:2.5+1.5+0.5+0.5+0.5+0.5+0.5+0.5+1.5+2.5 = 11Step 4: Divide it by the number of data:11/10 = 1.1So, the MAD = 1.1
Answer:
87.5%
Step-by-step explanation:
It decreased by 16 - 2 or 14, and since he wrote 16 tickets last week, the answer is 14/16 in percent form, or 7/8 = 87.5%.
